Solvable multi-species reaction-diffusion processes, including the extended drop-push model

Details Solvable multi-species reaction-diffusion processes, including the extended drop-push model Solvable multi-species reaction-diffusion processes, including the extended drop-push model

2004-03-28

arxiv.org/abs/cond-mat/0403672v3

Eur. Phys. J. B 42 (2004) 415

Physics

Condensed Matter

Statistical Mechanics

14 pages. Minor changes have been done and a number of references are added. To be published in European Physical Journal B

Scientific paper

10.1140/epjb/e2004-00398-y

By considering the master equation of asymmetric exclusion process on a one-dimensional lattice, we obtain the most general boundary condition of the multi-species exclusion processes in which the number of particles is constant in time. This boundary condition introduces the various interactions to the particles, including ones which have been studied yet and the new ones. In these new models, the particles have simultaneously diffusion, the two-particle interactions $A_\alpha A_\beta\to A_\gamma A_\delta$, and the $n$-particle extended drop-push interaction. The constraints on reaction rates are obtained and in two-species case, they are solved to obtain a solvable model. The conditional probabilities of this model are calculated.

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